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Finding the Fourth Proportional to 8,050.30, 12,062.49 and 4,965.82

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Solution

The fourth proportional to 8,050.30, 12,062.49 and 4,965.82 is: 7,440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,050.30 : 12,062.49 = 4,965.82 : x
  2. Step 2: Convert to fraction form
    8,050.30/12,062.49 = 4,965.82/x
  3. Step 3: Cross multiply
    8,050.30x = 12,062.49 × 4,965.82
  4. Step 4: Simplify right side
    8,050.30x = 59,900,154.09
  5. Step 5: Solve for x
    x = 59,900,154.09/8,050.30
  6. Step 6: Final answer
    x = 7,440.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.